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Finding the Third Proportional to 43,611,698,600,832 and 94,186,697,899,520

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Solution

The third proportional to 43,611,698,600,832 and 94,186,697,899,520 is: 203,411,798,802,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,611,698,600,832 : 94,186,697,899,520 = 94,186,697,899,520 : x
  2. Step 2: Convert to fraction form
    43,611,698,600,832/94,186,697,899,520 = 94,186,697,899,520/x
  3. Step 3: Cross multiply
    43,611,698,600,832x = 94,186,697,899,520 × 94,186,697,899,520
  4. Step 4: Simplify right side
    43,611,698,600,832x = 8,871,134,061,215,445,148,323,807,232
  5. Step 5: Solve for x
    x = 8,871,134,061,215,445,148,323,807,232/43,611,698,600,832
  6. Step 6: Final answer
    x = 203,411,798,802,218.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.